In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 52 degrees.

what is the arc length?

use 3.14 for π and round your final answer to the nearest hundredth.

enter your answer as a decimal in the box.

Therefore the arc length is 11.43 ft.

Step-by-step explanation:

Given:

Radius = 12.6 ft

Central angle = θ = 52°

pi = 3.14

To Find:

arc length = ?

Solution:

If the θ  measured in degree then the arc length is given as

Where r = radius, θ = Central angle

On substituting the values we get

Therefore the arc length is 11.43 ft.

whats the

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.